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Finding the Fourth Proportional to 2,392.47, 3,584.46 and 2,042.29

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Solution

The fourth proportional to 2,392.47, 3,584.46 and 2,042.29 is: 3,059.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,392.47 : 3,584.46 = 2,042.29 : x
  2. Step 2: Convert to fraction form
    2,392.47/3,584.46 = 2,042.29/x
  3. Step 3: Cross multiply
    2,392.47x = 3,584.46 × 2,042.29
  4. Step 4: Simplify right side
    2,392.47x = 7,320,506.81
  5. Step 5: Solve for x
    x = 7,320,506.81/2,392.47
  6. Step 6: Final answer
    x = 3,059.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.